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Finding the Fourth Proportional to 141,090.54, 194,697.50 and 80,653.20

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Solution

The fourth proportional to 141,090.54, 194,697.50 and 80,653.20 is: 111,297.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,090.54 : 194,697.50 = 80,653.20 : x
  2. Step 2: Convert to fraction form
    141,090.54/194,697.50 = 80,653.20/x
  3. Step 3: Cross multiply
    141,090.54x = 194,697.50 × 80,653.20
  4. Step 4: Simplify right side
    141,090.54x = 15,702,976,407
  5. Step 5: Solve for x
    x = 15,702,976,407/141,090.54
  6. Step 6: Final answer
    x = 111,297.16

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.